Some geometries for \(J_ 3\) and \(O'N\)

DOI10.1016/S0195-6698(89)80024-1zbMath0682.20011MaRDI QIDQ1824029

Yoshiara, Satoshi

Publication date: 1989

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

geometriesflag transitivelyO'Nan groupJanko group2-central involutions

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Combinatorial geometries and geometric closure systems (51D20)

Related Items

Some homotopy equivalences for sporadic geometries ⋮ ABSTRACT REGULAR POLYTOPES FOR THE O'NAN GROUP ⋮ Some projective modules determined by sporadic geometries ⋮ Structure of the maximal -local geometry point-line collinearity graph

Cites Work

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• Some projective modules determined by sporadic geometries
• Minimal parabolic geometries for the sporadic groups
• A geometric construction of Janko's group \(J_ 3\).
• Presentations of some finite groups with applications to the O'Nan simple group
• A geometry for the O'Nan-Sims group connected with the Petersen graph
• Some Evidence for the Existence of a New Simple Group
• A characterization of \(J_1\) in terms of its geometry

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